{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"8268c76a929f034711ffa8ef641f9166ab86c9d63edf7df7bb95c41dca14f082","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["8ec996e190dc8327e1f09d05dbbcac0e8a9dfeb89b68d92c761b63e1275b27f0","ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b"],"salt":"46acafacab06ec5ef3a62d14be36c39e1ab1cd5bf0afdb027583bdb3b3912b95","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"cm.dqpt.mixed-state-generalization","kind":"well-posed","literature_status":"open","n":"2","parents":[],"plain":"The theory is built for pure starting states at zero temperature. For warm starting states several competing definitions exist, and they disagree on whether the sharp kinks remain.","posed_since":"","precise":"For an initial Gibbs state $\\rho_0 = \\exp(-\\beta H_i)/Z$, compare generalized Loschmidt echoes (the interferometric echo $\\operatorname{tr}(\\rho_0 U(t))$ and fidelity-based echoes) in interacting models. Does any measurable generalization show nonanalyticities at finite $\\beta$ that connect continuously to the pure-state transitions as $\\beta \\to \\infty$? Answer yes or no, with the definition.","problem_ref":"8ec996e190dc8327e1f09d05dbbcac0e8a9dfeb89b68d92c761b63e1275b27f0","references":"","settled_by":"Exact free-fermion results extended to interacting chains by numerics, together with a measurement protocol.","status_note":"","title":"Do dynamical quantum phase transitions survive at finite temperature?","topic_ref":null},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"05589a04b816ace95be95223cf4239a44a0b6823b212fdacc9382fc9d66931a3","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"35aee38d8fe2f1920143842e3073e3cd3645e302e9645b2e657e8631d12ff0db","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"fKtw8HO5wJXwJocxGM5-7w4WPM-vgq8msRTpuEUSh-bSAmSEZ79pADkZQgf2TzyDDNpgUgnkA8o97P_ZsYTvCw"},"schema":"pubphys.envelope/1"},"record_hash":"05589a04b816ace95be95223cf4239a44a0b6823b212fdacc9382fc9d66931a3","leaf_index":2762}